Functorial Analysis in Geometric Probability Theory -- Stochastic Volterra Equations with Singular Kernels -- Stochastic Diffeology and Homotopy -- Some Results on Entropic Projections -- Mehler-Type Semigroups on Hilbert Spaces and Their Generators -- Singular Limiting Behavior in Nonlinear Stochastic Wave Equations -- Complete Positivity and Open Quantum Systems -- Properties of Measure-preserving Shifts on the Wiener Space -- Martingale and Markov Uniqueness of Infinite Dimensional Nelson Diffusions